6819120 has 320 divisors, whose sum is σ = 29998080. Its totient is φ = 1382400.

The previous prime is 6819107. The next prime is 6819121. The reversal of 6819120 is 219186.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6819121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 166300 + ... + 166340.

It is an arithmetic number, because the mean of its divisors is an integer number (93744).

Almost surely, 2^6819120 is an apocalyptic number.

6819120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6819120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14999040).

6819120 is an abundant number, since it is smaller than the sum of its proper divisors (23178960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6819120 is a wasteful number, since it uses less digits than its factorization.

6819120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 6819120 is about 2611.3444812969. The cubic root of 6819120 is about 189.6310476315.

It can be divided in two parts, 681 and 9120, that added together give a square (9801 = 99²).

The spelling of 6819120 in words is "six million, eight hundred nineteen thousand, one hundred twenty".